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  4. A particle moves under the effect of a force F = Cx from x = 0 to x = x1 The work done in the process is

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Q. A particle moves under the effect of a force $F = Cx$ from $x = 0$ to $x = x_{1}$ The work done in the process is

Work, Energy and Power

Solution:

$W \int\limits_{0}^{x_{1}} F \cdot d x$
$=\int\limits_{0}^{x_{1}} C x d x$
$=C\left[\frac{x^{2}}{2}\right]_{0}^{x_{1}}$
$=\frac{1}{2} C x_{1}^{2}$